Q. 84.8( 4 Votes )

The area of the t A. 12 sq units

B. 18 sq units

C. 24 sq units

D. 30 sq units

Answer :

Given equation,


x + 3y = 12


3y = 12 – x



When x = 0, then,





y = 4


When x = 6, then,





y = 2


When x = 12, then,




y = 0


Thus we have the following table,



Now on plotting (0, 4), (6, 2) and (12, 0) we have the following graph,


Clearly from the graph,



Base of triangle = 12 – 0 = 12 units


Height of triangle = 4 – 0 = 4 units


We know that, Area of triangle =





= 24 sq. units


Therefore, the area of the triangle is 24 sq. units

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